peak vs come up

peak is a noun but come up is not a noun.

Word	Noun	Adjective	Verb	Adverb
peak	Yes	No	Yes	No
come up	No	No	Yes	No

peak (noun)	come up (noun)
a brim that projects to the front to shade the eyes
the top or extreme point of something (usually a mountain or hill)
the highest point (of something)
the most extreme possible amount or value
a V shape
the highest level or degree attainable; the highest stage of development
the period of greatest prosperity or productivity

peak (verb)	come up (verb)
to reach the highest point; attain maximum intensity, activity	result or issue
	start running, functioning, or operating
	gather or bring together
	gather (money or other resources) together over time
	bring forth, usually something desirable
	come up, of celestial bodies
	come to the surface
	move toward, travel toward something or somebody or approach something or somebody
	move upward
	get something or somebody for a specific purpose
	originate or come into being
	be mentioned